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Finding the Fourth Proportional to 594.78, 891.21 and 337.50

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Solution

The fourth proportional to 594.78, 891.21 and 337.50 is: 505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 891.21 = 337.50 : x
  2. Step 2: Convert to fraction form
    594.78/891.21 = 337.50/x
  3. Step 3: Cross multiply
    594.78x = 891.21 × 337.50
  4. Step 4: Simplify right side
    594.78x = 300,783.38
  5. Step 5: Solve for x
    x = 300,783.38/594.78
  6. Step 6: Final answer
    x = 505.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.